Finding the Fourth Proportional to 1,584.03, 2,185.89 and 875.85

Step by Step Solution

1. Step 1: Write the proportion equation
   1,584.03 : 2,185.89 = 875.85 : x
2. Step 2: Convert to fraction form
   1,584.03/2,185.89 = 875.85/x
3. Step 3: Cross multiply
   1,584.03x = 2,185.89 × 875.85
4. Step 4: Simplify right side
   1,584.03x = 1,914,511.76
5. Step 5: Solve for x
   x = 1,914,511.76/1,584.03
6. Step 6: Final answer
   x = 1,208.63